A calculus problem by Clyde Royo

Calculus Level pending

A lawn is in the form of a 30-degree right triangle whose long leg is 67 m. On the long leg there is a peg 15 meter from the short leg to which a goat is tied such that the farthest its mouth can reach is 30 meter from the peg. Find the area on the lawn which it can graze. Can also be solve using trigonometry and geometric formulas.

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